144581794463089 has 27 divisors (see below), whose sum is σ = 147526428615267. Its totient is φ = 141695681777664.

The previous prime is 144581794463069. The next prime is 144581794463107. The reversal of 144581794463089 is 980364497185441.

The square root of 144581794463089 is 12024217.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 141732477471025 + 2849316992064 = 11905145^2 + 1687992^2 .

It is not a de Polignac number, because 144581794463089 - 2⁹ = 144581794462577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144581794463069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 131797441989 + ... + 131797443085.

Almost surely, 2^{144581794463089} is an apocalyptic number.

144581794463089 is the 12024217-th square number.

144581794463089 is the 6012109-th centered octagonal number.

It is an amenable number.

144581794463089 is a deficient number, since it is larger than the sum of its proper divisors (2944634152178).

144581794463089 is an frugal number, since it uses more digits than its factorization.

144581794463089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 73.

The spelling of 144581794463089 in words is "one hundred forty-four trillion, five hundred eighty-one billion, seven hundred ninety-four million, four hundred sixty-three thousand, eighty-nine".